Graphing and Writing Inequalities in Real-Life Scenarios

A school is planning a field trip and needs to collect at least $300 from students. If each student pays $15, how many students must participate? Write the inequality and graph it.

• 20

• 15

• 30

• 25

A farmer has 100 acres of land and wants to plant corn and wheat. Each acre of corn requires 2 hours of labor, and each acre of wheat requires 3 hours. If the farmer has 240 hours of labor available, set up the inequalities and graph the solution.

• The inequalities are x + y <= 100 and 2x + 3y <= 240.

• x + y <= 50 and 2x + 3y <= 120

• x + y >= 100 and 2x + 3y >= 240

• x + y = 100 and 2x + 3y = 240

A gym charges a monthly fee of $30 plus $5 for each class attended. If a member wants to spend no more than $100 in a month, write the inequality and graph it to find the maximum number of classes they can attend.

• 16

• 14

• 10

• 12

A concert hall has a seating capacity of 500. If tickets are sold for $20 each, and the hall must sell at least $8000 worth of tickets, write the inequality and graph the solution to find the minimum number of tickets that must be sold.

• 300

• 400

• 450

• 600

A bakery sells cupcakes for $2 each and cookies for $1 each. If the bakery wants to make at least $50 in one day, write the inequality and graph it to show the combinations of cupcakes and cookies that can be sold.

• 2x + y >= 50

• 2x + y <= 50

• 3x + y >= 50

• x + 2y >= 50

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer wants to spend no more than $100, write the inequality and graph it to find the maximum number of miles they can drive.

• 200 miles

• 300 miles

• 250 miles

• 150 miles

A local charity is collecting donations. They need at least $2000 to fund their project. If each donor contributes at least $50, write the inequality and graph it to determine the minimum number of donors needed.

• 40

• 50

• 30

• 25

A restaurant has a special offer where a meal costs $15 and a drink costs $3. If a customer wants to spend no more than $60, write the inequality and graph it to find the maximum number of meals and drinks they can order.

• The maximum number of meals is 5 and drinks is 10.

• The maximum number of meals is 3 and drinks is 15.

• The maximum number of meals is 2 and drinks is 25.

• The maximum number of meals is 4 (x=4, y=0) and the maximum number of drinks is 20 (x=0, y=20).

A student is saving money for a new laptop that costs $800. If they save $50 a week, how many weeks will it take to save enough? Write the inequality and graph it to show the solution.

• 10 weeks

• 20 weeks

• 25 weeks

• 16 weeks

A pet store has a limit of 20 animals that can be adopted in a month. If each family can adopt a maximum of 3 animals, write the inequality and graph it to find the maximum number of families that can adopt pets this month.

• 6

• 8

• 4

• 10